Annali di Matematica Pura ed Applicata

, Volume 136, Issue 1, pp 183–212 | Cite as

Interpolation of cosine operator functions

  • Ronald H. W. Hoppe
Article

Summary

Using basic techniques from the theory of interpolation spaces equivalence theorems are established for the intermediate spaces between a given Banach space A and the domain D(Λr) of the r-th power of the infinitesimal generator Λ of a strongly continuous cosine operator function C. The results are applied to the study of second order evolution equations including regularity, order reduction and approximation by finite difference methods.

Keywords

Banach Space Finite Difference Evolution Equation Difference Method Operator Function 

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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1984

Authors and Affiliations

  • Ronald H. W. Hoppe
    • 1
  1. 1.BerlinWest Germany

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